/*M///////////////////////////////////////////////////////////////////////////////////////
//
//  IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
//
//  By downloading, copying, installing or using the software you agree to this license.
//  If you do not agree to this license, do not download, install,
//  copy or use the software.
//
//
//                        Intel License Agreement
//                For Open Source Computer Vision Library
//
// Copyright (C) 2000, Intel Corporation, all rights reserved.
// Third party copyrights are property of their respective owners.
//
// Redistribution and use in source and binary forms, with or without modification,
// are permitted provided that the following conditions are met:
//
//   * Redistribution's of source code must retain the above copyright notice,
//     this list of conditions and the following disclaimer.
//
//   * Redistribution's in binary form must reproduce the above copyright notice,
//     this list of conditions and the following disclaimer in the documentation
//     and/or other materials provided with the distribution.
//
//   * The name of Intel Corporation may not be used to endorse or promote products
//     derived from this software without specific prior written permission.
//
// This software is provided by the copyright holders and contributors "as is" and
// any express or implied warranties, including, but not limited to, the implied
// warranties of merchantability and fitness for a particular purpose are disclaimed.
// In no event shall the Intel Corporation or contributors be liable for any direct,
// indirect, incidental, special, exemplary, or consequential damages
// (including, but not limited to, procurement of substitute goods or services;
// loss of use, data, or profits; or business interruption) however caused
// and on any theory of liability, whether in contract, strict liability,
// or tort (including negligence or otherwise) arising in any way out of
// the use of this software, even if advised of the possibility of such damage.
//
//M*/

#include "_cxcore.h"

#ifdef HAVE_CONFIG_H
#include <cvconfig.h>
#endif

#define ICV_MATH_BLOCK_SIZE  256

#define _CV_SQRT_MAGIC     0xbe6f0000

#define _CV_SQRT_MAGIC_DBL CV_BIG_UINT(0xbfcd460000000000)

#define _CV_ATAN_CF0  (-15.8131890796f)
#define _CV_ATAN_CF1  (61.0941945596f)
#define _CV_ATAN_CF2  0.f /*(-0.140500406322f)*/

static const float icvAtanTab[8] = { 0.f + _CV_ATAN_CF2, 90.f - _CV_ATAN_CF2,
    180.f - _CV_ATAN_CF2, 90.f + _CV_ATAN_CF2,
    360.f - _CV_ATAN_CF2, 270.f + _CV_ATAN_CF2,
    180.f + _CV_ATAN_CF2, 270.f - _CV_ATAN_CF2
};

static const int icvAtanSign[8] =
    { 0, 0x80000000, 0x80000000, 0, 0x80000000, 0, 0, 0x80000000 };

CV_IMPL float
cvFastArctan( float y, float x )
{
    Cv32suf _x, _y;
    int ix, iy, ygx, idx;
    double z;

    _x.f = x; _y.f = y;
    ix = _x.i; iy = _y.i;
    idx = (ix < 0) * 2 + (iy < 0) * 4;

    ix &= 0x7fffffff;
    iy &= 0x7fffffff;

    ygx = (iy <= ix) - 1;
    idx -= ygx;

    idx &= ((ix == 0) - 1) | ((iy == 0) - 1);

    /* swap ix and iy if ix < iy */
    ix ^= iy & ygx;
    iy ^= ix & ygx;
    ix ^= iy & ygx;

    _y.i = iy ^ icvAtanSign[idx];

    /* ix = ix != 0 ? ix : 1.f */
    _x.i = ((ix ^ CV_1F) & ((ix == 0) - 1)) ^ CV_1F;

    z = _y.f / _x.f;
    return (float)((_CV_ATAN_CF0*fabs(z) + _CV_ATAN_CF1)*z + icvAtanTab[idx]);
}


IPCVAPI_IMPL( CvStatus, icvFastArctan_32f,
    (const float *__y, const float *__x, float *angle, int len ), (__y, __x, angle, len) )
{
    int i = 0;
    const int *y = (const int*)__y, *x = (const int*)__x;

    if( !(y && x && angle && len >= 0) )
        return CV_BADFACTOR_ERR;

    /* unrolled by 4 loop */
    for( ; i <= len - 4; i += 4 )
    {
        int j, idx[4];
        float xf[4], yf[4];
        double d = 1.;

        /* calc numerators and denominators */
        for( j = 0; j < 4; j++ )
        {
            int ix = x[i + j], iy = y[i + j];
            int ygx, k = (ix < 0) * 2 + (iy < 0) * 4;
            Cv32suf _x, _y;

            ix &= 0x7fffffff;
            iy &= 0x7fffffff;

            ygx = (iy <= ix) - 1;
            k -= ygx;

            k &= ((ix == 0) - 1) | ((iy == 0) - 1);

            /* swap ix and iy if ix < iy */
            ix ^= iy & ygx;
            iy ^= ix & ygx;
            ix ^= iy & ygx;

            _y.i = iy ^ icvAtanSign[k];

            /* ix = ix != 0 ? ix : 1.f */
            _x.i = ((ix ^ CV_1F) & ((ix == 0) - 1)) ^ CV_1F;
            idx[j] = k;
            yf[j] = _y.f;
            d *= (xf[j] = _x.f);
        }

        d = 1. / d;

        {
            double b = xf[2] * xf[3], a = xf[0] * xf[1];

            float z0 = (float) (yf[0] * xf[1] * b * d);
            float z1 = (float) (yf[1] * xf[0] * b * d);
            float z2 = (float) (yf[2] * xf[3] * a * d);
            float z3 = (float) (yf[3] * xf[2] * a * d);

            z0 = (float)((_CV_ATAN_CF0*fabs(z0) + _CV_ATAN_CF1)*z0 + icvAtanTab[idx[0]]);
            z1 = (float)((_CV_ATAN_CF0*fabs(z1) + _CV_ATAN_CF1)*z1 + icvAtanTab[idx[1]]);
            z2 = (float)((_CV_ATAN_CF0*fabs(z2) + _CV_ATAN_CF1)*z2 + icvAtanTab[idx[2]]);
            z3 = (float)((_CV_ATAN_CF0*fabs(z3) + _CV_ATAN_CF1)*z3 + icvAtanTab[idx[3]]);

            angle[i] = z0;
            angle[i+1] = z1;
            angle[i+2] = z2;
            angle[i+3] = z3;
        }
    }

    /* process the rest */
    for( ; i < len; i++ )
        angle[i] = cvFastArctan( __y[i], __x[i] );

    return CV_OK;
}


/* ************************************************************************** *\
   Fast cube root by Ken Turkowski
   (http://www.worldserver.com/turk/computergraphics/papers.html)
\* ************************************************************************** */
CV_IMPL  float  cvCbrt( float value )
{
    float fr;
    Cv32suf v, m;
    int ix, s;
    int ex, shx;

    v.f = value;
    ix = v.i & 0x7fffffff;
    s = v.i & 0x80000000;
    ex = (ix >> 23) - 127;
    shx = ex % 3;
    shx -= shx >= 0 ? 3 : 0;
    ex = (ex - shx) / 3; /* exponent of cube root */
    v.i = (ix & ((1<<23)-1)) | ((shx + 127)<<23);
    fr = v.f;

    /* 0.125 <= fr < 1.0 */
    /* Use quartic rational polynomial with error < 2^(-24) */
    fr = (float)(((((45.2548339756803022511987494 * fr +
    192.2798368355061050458134625) * fr +
    119.1654824285581628956914143) * fr +
    13.43250139086239872172837314) * fr +
    0.1636161226585754240958355063)/
    ((((14.80884093219134573786480845 * fr +
    151.9714051044435648658557668) * fr +
    168.5254414101568283957668343) * fr +
    33.9905941350215598754191872) * fr +
    1.0));

    /* fr *= 2^ex * sign */
    m.f = value;
    v.f = fr;
    v.i = (v.i + (ex << 23) + s) & (m.i*2 != 0 ? -1 : 0);
    return v.f;
}

//static const double _0_5 = 0.5, _1_5 = 1.5;

IPCVAPI_IMPL( CvStatus, icvInvSqrt_32f, (const float *src, float *dst, int len), (src, dst, len) )
{
    int i = 0;

    if( !(src && dst && len >= 0) )
        return CV_BADFACTOR_ERR;

    for( ; i < len; i++ )
        dst[i] = (float)(1.f/sqrt(src[i]));

    return CV_OK;
}


IPCVAPI_IMPL( CvStatus, icvSqrt_32f, (const float *src, float *dst, int len), (src, dst, len) )
{
    int i = 0;

    if( !(src && dst && len >= 0) )
        return CV_BADFACTOR_ERR;

    for( ; i < len; i++ )
        dst[i] = (float)sqrt(src[i]);

    return CV_OK;
}


IPCVAPI_IMPL( CvStatus, icvSqrt_64f, (const double *src, double *dst, int len), (src, dst, len) )
{
    int i = 0;

    if( !(src && dst && len >= 0) )
        return CV_BADFACTOR_ERR;

    for( ; i < len; i++ )
        dst[i] = sqrt(src[i]);

    return CV_OK;
}


IPCVAPI_IMPL( CvStatus, icvInvSqrt_64f, (const double *src, double *dst, int len), (src, dst, len) )
{
    int i = 0;

    if( !(src && dst && len >= 0) )
        return CV_BADFACTOR_ERR;

    for( ; i < len; i++ )
        dst[i] = 1./sqrt(src[i]);

    return CV_OK;
}


#define ICV_DEF_SQR_MAGNITUDE_FUNC(flavor, arrtype, magtype)\
static CvStatus CV_STDCALL                                  \
icvSqrMagnitude_##flavor(const arrtype* x, const arrtype* y,\
                         magtype* mag, int len)             \
{                                                           \
    int i;                                                  \
                                                            \
    for( i = 0; i <= len - 4; i += 4 )                      \
    {                                                       \
        magtype x0 = (magtype)x[i], y0 = (magtype)y[i];     \
        magtype x1 = (magtype)x[i+1], y1 = (magtype)y[i+1]; \
                                                            \
        x0 = x0*x0 + y0*y0;                                 \
        x1 = x1*x1 + y1*y1;                                 \
        mag[i] = x0;                                        \
        mag[i+1] = x1;                                      \
        x0 = (magtype)x[i+2], y0 = (magtype)y[i+2];         \
        x1 = (magtype)x[i+3], y1 = (magtype)y[i+3];         \
        x0 = x0*x0 + y0*y0;                                 \
        x1 = x1*x1 + y1*y1;                                 \
        mag[i+2] = x0;                                      \
        mag[i+3] = x1;                                      \
    }                                                       \
                                                            \
    for( ; i < len; i++ )                                   \
    {                                                       \
        magtype x0 = (magtype)x[i], y0 = (magtype)y[i];     \
        mag[i] = x0*x0 + y0*y0;                             \
    }                                                       \
                                                            \
    return CV_OK;                                           \
}


ICV_DEF_SQR_MAGNITUDE_FUNC( 32f, float, float )
ICV_DEF_SQR_MAGNITUDE_FUNC( 64f, double, double )

/****************************************************************************************\
*                                  Cartezian -> Polar                                    *
\****************************************************************************************/

CV_IMPL void
cvCartToPolar( const CvArr* xarr, const CvArr* yarr,
               CvArr* magarr, CvArr* anglearr,
               int angle_in_degrees )
{
    CV_FUNCNAME( "cvCartToPolar" );

    __BEGIN__;

    float* mag_buffer = 0;
    float* x_buffer = 0;
    float* y_buffer = 0;
    int block_size = 0;
    CvMat xstub, *xmat = (CvMat*)xarr;
    CvMat ystub, *ymat = (CvMat*)yarr;
    CvMat magstub, *mag = (CvMat*)magarr;
    CvMat anglestub, *angle = (CvMat*)anglearr;
    int coi1 = 0, coi2 = 0, coi3 = 0, coi4 = 0;
    int depth;
    CvSize size;
    int x, y;
    int cont_flag = CV_MAT_CONT_FLAG;

    if( !CV_IS_MAT(xmat))
        CV_CALL( xmat = cvGetMat( xmat, &xstub, &coi1 ));

    if( !CV_IS_MAT(ymat))
        CV_CALL( ymat = cvGetMat( ymat, &ystub, &coi2 ));

    if( !CV_ARE_TYPES_EQ( xmat, ymat ) )
        CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );

    if( !CV_ARE_SIZES_EQ( xmat, ymat ) )
        CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );

    depth = CV_MAT_DEPTH( xmat->type );
    if( depth < CV_32F )
        CV_ERROR( CV_StsUnsupportedFormat, "" );

    if( mag )
    {
        CV_CALL( mag = cvGetMat( mag, &magstub, &coi3 ));

        if( !CV_ARE_TYPES_EQ( mag, xmat ) )
            CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );

        if( !CV_ARE_SIZES_EQ( mag, xmat ) )
            CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
        cont_flag = mag->type;
    }

    if( angle )
    {
        CV_CALL( angle = cvGetMat( angle, &anglestub, &coi4 ));

        if( !CV_ARE_TYPES_EQ( angle, xmat ) )
            CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );

        if( !CV_ARE_SIZES_EQ( angle, xmat ) )
            CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
        cont_flag &= angle->type;
    }

    if( coi1 != 0 || coi2 != 0 || coi3 != 0 || coi4 != 0 )
        CV_ERROR( CV_BadCOI, "" );

    size = cvGetMatSize(xmat);
    size.width *= CV_MAT_CN(xmat->type);

    if( CV_IS_MAT_CONT( xmat->type & ymat->type & cont_flag ))
    {
        size.width *= size.height;
        size.height = 1;
    }

    block_size = MIN( size.width, ICV_MATH_BLOCK_SIZE );
    /*zeng
    if( depth == CV_64F && angle )
    {
        x_buffer = (float*)cvStackAlloc( block_size*sizeof(float));
        y_buffer = (float*)cvStackAlloc( block_size*sizeof(float));
    }
    else if( depth == CV_32F && mag )
    {
        mag_buffer = (float*)cvStackAlloc( block_size*sizeof(float));
    }

    */
    if( depth == CV_64F && angle )
    {
        x_buffer = (float*)cvAlloc( block_size*sizeof(float));
        y_buffer = (float*)cvAlloc( block_size*sizeof(float));
    }
    else if( depth == CV_32F && mag )
    {
        mag_buffer = (float*)cvAlloc( block_size*sizeof(float));
    }

    if( depth == CV_32F )
    {
        for( y = 0; y < size.height; y++ )
        {
            float* x_data = (float*)(xmat->data.ptr + xmat->step*y);
            float* y_data = (float*)(ymat->data.ptr + ymat->step*y);
            float* mag_data = mag ? (float*)(mag->data.ptr + mag->step*y) : 0;
            float* angle_data = angle ? (float*)(angle->data.ptr + angle->step*y) : 0;

            for( x = 0; x < size.width; x += block_size )
            {
                int len = MIN( size.width - x, block_size );

                if( mag )
                    icvSqrMagnitude_32f( x_data + x, y_data + x, mag_buffer, len );

                if( angle )
                {
                    icvFastArctan_32f( y_data + x, x_data + x, angle_data + x, len );
                    if( !angle_in_degrees )
                        icvScale_32f( angle_data + x, angle_data + x,
                                      len, (float)(CV_PI/180.), 0 );
                }

                if( mag )
                    icvSqrt_32f( mag_buffer, mag_data + x, len );
            }
        }
    }
    else
    {
        for( y = 0; y < size.height; y++ )
        {
            double* x_data = (double*)(xmat->data.ptr + xmat->step*y);
            double* y_data = (double*)(ymat->data.ptr + ymat->step*y);
            double* mag_data = mag ? (double*)(mag->data.ptr + mag->step*y) : 0;
            double* angle_data = angle ? (double*)(angle->data.ptr + angle->step*y) : 0;

            for( x = 0; x < size.width; x += block_size )
            {
                int len = MIN( size.width - x, block_size );

                if( angle )
                {
                    icvCvt_64f32f( x_data + x, x_buffer, len );
                    icvCvt_64f32f( y_data + x, y_buffer, len );
                }

                if( mag )
                {
                    icvSqrMagnitude_64f( x_data + x, y_data + x, mag_data + x, len );
                    icvSqrt_64f( mag_data + x, mag_data + x, len );
                }

                if( angle )
                {
                    icvFastArctan_32f( y_buffer, x_buffer, x_buffer, len );
                    if( !angle_in_degrees )
                        icvScale_32f( x_buffer, x_buffer, len, (float)(CV_PI/180.), 0 );
                    icvCvt_32f64f( x_buffer, angle_data + x, len );
                }
            }
        }
    }
    if(x_buffer)cvFree(&x_buffer);
    if(y_buffer)cvFree(&y_buffer);
    if(mag_buffer)cvFree(&mag_buffer);

    __END__;
}


/****************************************************************************************\
*                                  Polar -> Cartezian                                    *
\****************************************************************************************/

static CvStatus CV_STDCALL
icvSinCos_32f( const float *angle,float *sinval, float* cosval,
                int len, int angle_in_degrees )
{
    const int N = 64;

    static const double sin_table[] =
    {
     0.00000000000000000000,     0.09801714032956060400,
     0.19509032201612825000,     0.29028467725446233000,
     0.38268343236508978000,     0.47139673682599764000,
     0.55557023301960218000,     0.63439328416364549000,
     0.70710678118654746000,     0.77301045336273699000,
     0.83146961230254524000,     0.88192126434835494000,
     0.92387953251128674000,     0.95694033573220894000,
     0.98078528040323043000,     0.99518472667219682000,
     1.00000000000000000000,     0.99518472667219693000,
     0.98078528040323043000,     0.95694033573220894000,
     0.92387953251128674000,     0.88192126434835505000,
     0.83146961230254546000,     0.77301045336273710000,
     0.70710678118654757000,     0.63439328416364549000,
     0.55557023301960218000,     0.47139673682599786000,
     0.38268343236508989000,     0.29028467725446239000,
     0.19509032201612861000,     0.09801714032956082600,
     0.00000000000000012246,    -0.09801714032956059000,
    -0.19509032201612836000,    -0.29028467725446211000,
    -0.38268343236508967000,    -0.47139673682599764000,
    -0.55557023301960196000,    -0.63439328416364527000,
    -0.70710678118654746000,    -0.77301045336273666000,
    -0.83146961230254524000,    -0.88192126434835494000,
    -0.92387953251128652000,    -0.95694033573220882000,
    -0.98078528040323032000,    -0.99518472667219693000,
    -1.00000000000000000000,    -0.99518472667219693000,
    -0.98078528040323043000,    -0.95694033573220894000,
    -0.92387953251128663000,    -0.88192126434835505000,
    -0.83146961230254546000,    -0.77301045336273688000,
    -0.70710678118654768000,    -0.63439328416364593000,
    -0.55557023301960218000,    -0.47139673682599792000,
    -0.38268343236509039000,    -0.29028467725446250000,
    -0.19509032201612872000,    -0.09801714032956050600,
    };

    static const double k2 = (2*CV_PI)/N;

    static const double sin_a0 = -0.166630293345647*k2*k2*k2;
    static const double sin_a2 = k2;

    static const double cos_a0 = -0.499818138450326*k2*k2;
    /*static const double cos_a2 =  1;*/

    double k1;
    int i;

    if( !angle_in_degrees )
        k1 = N/(2*CV_PI);
    else
        k1 = N/360.;

    for( i = 0; i < len; i++ )
    {
        double t = angle[i]*k1;
        int it = cvRound(t);
        t -= it;
        int sin_idx = it & (N - 1);
        int cos_idx = (N/4 - sin_idx) & (N - 1);

        double sin_b = (sin_a0*t*t + sin_a2)*t;
        double cos_b = cos_a0*t*t + 1;

        double sin_a = sin_table[sin_idx];
        double cos_a = sin_table[cos_idx];

        double sin_val = sin_a*cos_b + cos_a*sin_b;
        double cos_val = cos_a*cos_b - sin_a*sin_b;

        sinval[i] = (float)sin_val;
        cosval[i] = (float)cos_val;
    }

    return CV_OK;
}


CV_IMPL void
cvPolarToCart( const CvArr* magarr, const CvArr* anglearr,
               CvArr* xarr, CvArr* yarr, int angle_in_degrees )
{
    CV_FUNCNAME( "cvPolarToCart" );

    __BEGIN__;

    float* x_buffer = 0;
    float* y_buffer = 0;
    int block_size = 0;
    CvMat xstub, *xmat = (CvMat*)xarr;
    CvMat ystub, *ymat = (CvMat*)yarr;
    CvMat magstub, *mag = (CvMat*)magarr;
    CvMat anglestub, *angle = (CvMat*)anglearr;
    int coi1 = 0, coi2 = 0, coi3 = 0, coi4 = 0;
    int depth;
    CvSize size;
    int x, y;
    int cont_flag;

    if( !CV_IS_MAT(angle))
        CV_CALL( angle = cvGetMat( angle, &anglestub, &coi4 ));

    depth = CV_MAT_DEPTH( angle->type );
    if( depth < CV_32F )
        CV_ERROR( CV_StsUnsupportedFormat, "" );
    cont_flag = angle->type;

    if( mag )
    {
        if( !CV_IS_MAT(mag))
            CV_CALL( mag = cvGetMat( mag, &magstub, &coi3 ));

        if( !CV_ARE_TYPES_EQ( angle, mag ) )
            CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );

        if( !CV_ARE_SIZES_EQ( angle, mag ) )
            CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );

        cont_flag &= mag->type;
    }

    if( xmat )
    {
        if( !CV_IS_MAT(xmat))
            CV_CALL( xmat = cvGetMat( xmat, &xstub, &coi1 ));

        if( !CV_ARE_TYPES_EQ( angle, xmat ) )
            CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );

        if( !CV_ARE_SIZES_EQ( angle, xmat ) )
            CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );

        cont_flag &= xmat->type;
    }

    if( ymat )
    {
        if( !CV_IS_MAT(ymat))
            CV_CALL( ymat = cvGetMat( ymat, &ystub, &coi2 ));

        if( !CV_ARE_TYPES_EQ( angle, ymat ) )
            CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );

        if( !CV_ARE_SIZES_EQ( angle, ymat ) )
            CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );

        cont_flag &= ymat->type;
    }

    if( coi1 != 0 || coi2 != 0 || coi3 != 0 || coi4 != 0 )
        CV_ERROR( CV_BadCOI, "" );

    size = cvGetMatSize(angle);
    size.width *= CV_MAT_CN(angle->type);

    if( CV_IS_MAT_CONT( cont_flag ))
    {
        size.width *= size.height;
        size.height = 1;
    }

    block_size = MIN( size.width, ICV_MATH_BLOCK_SIZE );
    /*zeng
    x_buffer = (float*)cvStackAlloc( block_size*sizeof(float));
    y_buffer = (float*)cvStackAlloc( block_size*sizeof(float));
    */
    x_buffer = (float*)cvAlloc( block_size*sizeof(float));
    y_buffer = (float*)cvAlloc( block_size*sizeof(float));
    if( depth == CV_32F )
    {
        for( y = 0; y < size.height; y++ )
        {
            float* x_data = (float*)(xmat ? xmat->data.ptr + xmat->step*y : 0);
            float* y_data = (float*)(ymat ? ymat->data.ptr + ymat->step*y : 0);
            float* mag_data = (float*)(mag ? mag->data.ptr + mag->step*y : 0);
            float* angle_data = (float*)(angle->data.ptr + angle->step*y);

            for( x = 0; x < size.width; x += block_size )
            {
                int i, len = MIN( size.width - x, block_size );

                icvSinCos_32f( angle_data+x, y_buffer, x_buffer, len, angle_in_degrees );

                for( i = 0; i < len; i++ )
                {
                    float tx = x_buffer[i];
                    float ty = y_buffer[i];

                    if( mag_data )
                    {
                        float magval = mag_data[x+i];
                        tx *= magval;
                        ty *= magval;
                    }

                    if( xmat )
                        x_data[x+i] = tx;
                    if( ymat )
                        y_data[x+i] = ty;
                }
            }
        }
    }
    else
    {
        for( y = 0; y < size.height; y++ )
        {
            double* x_data = (double*)(xmat ? xmat->data.ptr + xmat->step*y : 0);
            double* y_data = (double*)(ymat ? ymat->data.ptr + ymat->step*y : 0);
            double* mag_data = (double*)(mag ? mag->data.ptr + mag->step*y : 0);
            double* angle_data = (double*)(angle->data.ptr + angle->step*y);
            double C = angle_in_degrees ? CV_PI/180. : 1;

            for( x = 0; x < size.width; x++ )
            {
                double phi = angle_data[x]*C;
                double magval = mag_data ? mag_data[x] : 1.;
                if( xmat )
                    x_data[x] = cos(phi)*magval;
                if( ymat )
                    y_data[x] = sin(phi)*magval;
            }
        }
    }
    if(x_buffer)cvFree(&x_buffer);
    if(y_buffer)cvFree(&y_buffer);
    __END__;
}

/****************************************************************************************\
*                                          E X P                                         *
\****************************************************************************************/

typedef union
{
    struct {
#if ( defined( WORDS_BIGENDIAN ) && !defined( OPENCV_UNIVERSAL_BUILD ) ) || defined( __BIG_ENDIAN__ )
        int hi;
        int lo;
#else
        int lo;
        int hi;
#endif
    } i;
    double d;
}
DBLINT;

#define EXPTAB_SCALE 6
#define EXPTAB_MASK  (1 << EXPTAB_SCALE) - 1

#define EXPPOLY_32F_A0 .9670371139572337719125840413672004409288e-2

static const double icvExpTab[] = {
    1.0 * EXPPOLY_32F_A0,
    1.0108892860517004600204097905619 * EXPPOLY_32F_A0,
    1.0218971486541166782344801347833 * EXPPOLY_32F_A0,
    1.0330248790212284225001082839705 * EXPPOLY_32F_A0,
    1.0442737824274138403219664787399 * EXPPOLY_32F_A0,
    1.0556451783605571588083413251529 * EXPPOLY_32F_A0,
    1.0671404006768236181695211209928 * EXPPOLY_32F_A0,
    1.0787607977571197937406800374385 * EXPPOLY_32F_A0,
    1.0905077326652576592070106557607 * EXPPOLY_32F_A0,
    1.1023825833078409435564142094256 * EXPPOLY_32F_A0,
    1.1143867425958925363088129569196 * EXPPOLY_32F_A0,
    1.126521618608241899794798643787 * EXPPOLY_32F_A0,
    1.1387886347566916537038302838415 * EXPPOLY_32F_A0,
    1.151189229952982705817759635202 * EXPPOLY_32F_A0,
    1.1637248587775775138135735990922 * EXPPOLY_32F_A0,
    1.1763969916502812762846457284838 * EXPPOLY_32F_A0,
    1.1892071150027210667174999705605 * EXPPOLY_32F_A0,
    1.2021567314527031420963969574978 * EXPPOLY_32F_A0,
    1.2152473599804688781165202513388 * EXPPOLY_32F_A0,
    1.2284805361068700056940089577928 * EXPPOLY_32F_A0,
    1.2418578120734840485936774687266 * EXPPOLY_32F_A0,
    1.2553807570246910895793906574423 * EXPPOLY_32F_A0,
    1.2690509571917332225544190810323 * EXPPOLY_32F_A0,
    1.2828700160787782807266697810215 * EXPPOLY_32F_A0,
    1.2968395546510096659337541177925 * EXPPOLY_32F_A0,
    1.3109612115247643419229917863308 * EXPPOLY_32F_A0,
    1.3252366431597412946295370954987 * EXPPOLY_32F_A0,
    1.3396675240533030053600306697244 * EXPPOLY_32F_A0,
    1.3542555469368927282980147401407 * EXPPOLY_32F_A0,
    1.3690024229745906119296011329822 * EXPPOLY_32F_A0,
    1.3839098819638319548726595272652 * EXPPOLY_32F_A0,
    1.3989796725383111402095281367152 * EXPPOLY_32F_A0,
    1.4142135623730950488016887242097 * EXPPOLY_32F_A0,
    1.4296133383919700112350657782751 * EXPPOLY_32F_A0,
    1.4451808069770466200370062414717 * EXPPOLY_32F_A0,
    1.4609177941806469886513028903106 * EXPPOLY_32F_A0,
    1.476826145939499311386907480374 * EXPPOLY_32F_A0,
    1.4929077282912648492006435314867 * EXPPOLY_32F_A0,
    1.5091644275934227397660195510332 * EXPPOLY_32F_A0,
    1.5255981507445383068512536895169 * EXPPOLY_32F_A0,
    1.5422108254079408236122918620907 * EXPPOLY_32F_A0,
    1.5590044002378369670337280894749 * EXPPOLY_32F_A0,
    1.5759808451078864864552701601819 * EXPPOLY_32F_A0,
    1.5931421513422668979372486431191 * EXPPOLY_32F_A0,
    1.6104903319492543081795206673574 * EXPPOLY_32F_A0,
    1.628027421857347766848218522014 * EXPPOLY_32F_A0,
    1.6457554781539648445187567247258 * EXPPOLY_32F_A0,
    1.6636765803267364350463364569764 * EXPPOLY_32F_A0,
    1.6817928305074290860622509524664 * EXPPOLY_32F_A0,
    1.7001063537185234695013625734975 * EXPPOLY_32F_A0,
    1.7186192981224779156293443764563 * EXPPOLY_32F_A0,
    1.7373338352737062489942020818722 * EXPPOLY_32F_A0,
    1.7562521603732994831121606193753 * EXPPOLY_32F_A0,
    1.7753764925265212525505592001993 * EXPPOLY_32F_A0,
    1.7947090750031071864277032421278 * EXPPOLY_32F_A0,
    1.8142521755003987562498346003623 * EXPPOLY_32F_A0,
    1.8340080864093424634870831895883 * EXPPOLY_32F_A0,
    1.8539791250833855683924530703377 * EXPPOLY_32F_A0,
    1.8741676341102999013299989499544 * EXPPOLY_32F_A0,
    1.8945759815869656413402186534269 * EXPPOLY_32F_A0,
    1.9152065613971472938726112702958 * EXPPOLY_32F_A0,
    1.9360617934922944505980559045667 * EXPPOLY_32F_A0,
    1.9571441241754002690183222516269 * EXPPOLY_32F_A0,
    1.9784560263879509682582499181312 * EXPPOLY_32F_A0,
};

static const double exp_prescale = 1.4426950408889634073599246810019 * (1 << EXPTAB_SCALE);
static const double exp_postscale = 1./(1 << EXPTAB_SCALE);
static const double exp_max_val = 3000.*(1 << EXPTAB_SCALE); // log10(DBL_MAX) < 3000

IPCVAPI_IMPL( CvStatus, icvExp_32f, ( const float *_x, float *y, int n ), (_x, y, n) )
{
    static const double
        EXPPOLY_32F_A4 = 1.000000000000002438532970795181890933776 / EXPPOLY_32F_A0,
        EXPPOLY_32F_A3 = .6931471805521448196800669615864773144641 / EXPPOLY_32F_A0,
        EXPPOLY_32F_A2 = .2402265109513301490103372422686535526573 / EXPPOLY_32F_A0,
        EXPPOLY_32F_A1 = .5550339366753125211915322047004666939128e-1 / EXPPOLY_32F_A0;

    #undef EXPPOLY
    #define EXPPOLY(x)  \
        (((((x) + EXPPOLY_32F_A1)*(x) + EXPPOLY_32F_A2)*(x) + EXPPOLY_32F_A3)*(x) + EXPPOLY_32F_A4)

    int i = 0;
    DBLINT buf[4];
    const Cv32suf* x = (const Cv32suf*)_x;

    if( !x || !y )
        return CV_NULLPTR_ERR;
    if( n <= 0 )
        return CV_BADSIZE_ERR;

    buf[0].i.lo = buf[1].i.lo = buf[2].i.lo = buf[3].i.lo = 0;

    for( ; i <= n - 4; i += 4 )
    {
        double x0 = x[i].f * exp_prescale;
        double x1 = x[i + 1].f * exp_prescale;
        double x2 = x[i + 2].f * exp_prescale;
        double x3 = x[i + 3].f * exp_prescale;
        int val0, val1, val2, val3, t;

        if( ((x[i].i >> 23) & 255) > 127 + 10 )
            x0 = x[i].i < 0 ? -exp_max_val : exp_max_val;

        if( ((x[i+1].i >> 23) & 255) > 127 + 10 )
            x1 = x[i+1].i < 0 ? -exp_max_val : exp_max_val;

        if( ((x[i+2].i >> 23) & 255) > 127 + 10 )
            x2 = x[i+2].i < 0 ? -exp_max_val : exp_max_val;

        if( ((x[i+3].i >> 23) & 255) > 127 + 10 )
            x3 = x[i+3].i < 0 ? -exp_max_val : exp_max_val;

        val0 = cvRound(x0);
        val1 = cvRound(x1);
        val2 = cvRound(x2);
        val3 = cvRound(x3);

        x0 = (x0 - val0)*exp_postscale;
        x1 = (x1 - val1)*exp_postscale;
        x2 = (x2 - val2)*exp_postscale;
        x3 = (x3 - val3)*exp_postscale;

        t = (val0 >> EXPTAB_SCALE) + 1023;
        t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
        buf[0].i.hi = t << 20;

        t = (val1 >> EXPTAB_SCALE) + 1023;
        t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
        buf[1].i.hi = t << 20;

        t = (val2 >> EXPTAB_SCALE) + 1023;
        t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
        buf[2].i.hi = t << 20;

        t = (val3 >> EXPTAB_SCALE) + 1023;
        t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
        buf[3].i.hi = t << 20;

        x0 = buf[0].d * icvExpTab[val0 & EXPTAB_MASK] * EXPPOLY( x0 );
        x1 = buf[1].d * icvExpTab[val1 & EXPTAB_MASK] * EXPPOLY( x1 );

        y[i] = (float)x0;
        y[i + 1] = (float)x1;

        x2 = buf[2].d * icvExpTab[val2 & EXPTAB_MASK] * EXPPOLY( x2 );
        x3 = buf[3].d * icvExpTab[val3 & EXPTAB_MASK] * EXPPOLY( x3 );

        y[i + 2] = (float)x2;
        y[i + 3] = (float)x3;
    }

    for( ; i < n; i++ )
    {
        double x0 = x[i].f * exp_prescale;
        int val0, t;

        if( ((x[i].i >> 23) & 255) > 127 + 10 )
            x0 = x[i].i < 0 ? -exp_max_val : exp_max_val;

        val0 = cvRound(x0);
        t = (val0 >> EXPTAB_SCALE) + 1023;
        t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);

        buf[0].i.hi = t << 20;
        x0 = (x0 - val0)*exp_postscale;

        y[i] = (float)(buf[0].d * icvExpTab[val0 & EXPTAB_MASK] * EXPPOLY(x0));
    }

    return CV_OK;
}


IPCVAPI_IMPL( CvStatus, icvExp_64f, ( const double *_x, double *y, int n ), (_x, y, n) )
{
    static const double
        A5 = .99999999999999999998285227504999 / EXPPOLY_32F_A0,
        A4 = .69314718055994546743029643825322 / EXPPOLY_32F_A0,
        A3 = .24022650695886477918181338054308 / EXPPOLY_32F_A0,
        A2 = .55504108793649567998466049042729e-1 / EXPPOLY_32F_A0,
        A1 = .96180973140732918010002372686186e-2 / EXPPOLY_32F_A0,
        A0 = .13369713757180123244806654839424e-2 / EXPPOLY_32F_A0;

    #undef EXPPOLY
    #define EXPPOLY(x)  (((((A0*(x) + A1)*(x) + A2)*(x) + A3)*(x) + A4)*(x) + A5)

    int i = 0;
    DBLINT buf[4];
    const Cv64suf* x = (const Cv64suf*)_x;

    if( !x || !y )
        return CV_NULLPTR_ERR;
    if( n <= 0 )
        return CV_BADSIZE_ERR;

    buf[0].i.lo = buf[1].i.lo = buf[2].i.lo = buf[3].i.lo = 0;

    for( ; i <= n - 4; i += 4 )
    {
        double x0 = x[i].f * exp_prescale;
        double x1 = x[i + 1].f * exp_prescale;
        double x2 = x[i + 2].f * exp_prescale;
        double x3 = x[i + 3].f * exp_prescale;

        double y0, y1, y2, y3;
        int val0, val1, val2, val3, t;

        t = (int)(x[i].i >> 52);
        if( (t & 2047) > 1023 + 10 )
            x0 = t < 0 ? -exp_max_val : exp_max_val;

        t = (int)(x[i+1].i >> 52);
        if( (t & 2047) > 1023 + 10 )
            x1 = t < 0 ? -exp_max_val : exp_max_val;

        t = (int)(x[i+2].i >> 52);
        if( (t & 2047) > 1023 + 10 )
            x2 = t < 0 ? -exp_max_val : exp_max_val;

        t = (int)(x[i+3].i >> 52);
        if( (t & 2047) > 1023 + 10 )
            x3 = t < 0 ? -exp_max_val : exp_max_val;

        val0 = cvRound(x0);
        val1 = cvRound(x1);
        val2 = cvRound(x2);
        val3 = cvRound(x3);

        x0 = (x0 - val0)*exp_postscale;
        x1 = (x1 - val1)*exp_postscale;
        x2 = (x2 - val2)*exp_postscale;
        x3 = (x3 - val3)*exp_postscale;

        t = (val0 >> EXPTAB_SCALE) + 1023;
        t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
        buf[0].i.hi = t << 20;

        t = (val1 >> EXPTAB_SCALE) + 1023;
        t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
        buf[1].i.hi = t << 20;

        t = (val2 >> EXPTAB_SCALE) + 1023;
        t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
        buf[2].i.hi = t << 20;

        t = (val3 >> EXPTAB_SCALE) + 1023;
        t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
        buf[3].i.hi = t << 20;

        y0 = buf[0].d * icvExpTab[val0 & EXPTAB_MASK] * EXPPOLY( x0 );
        y1 = buf[1].d * icvExpTab[val1 & EXPTAB_MASK] * EXPPOLY( x1 );

        y[i] = y0;
        y[i + 1] = y1;

        y2 = buf[2].d * icvExpTab[val2 & EXPTAB_MASK] * EXPPOLY( x2 );
        y3 = buf[3].d * icvExpTab[val3 & EXPTAB_MASK] * EXPPOLY( x3 );

        y[i + 2] = y2;
        y[i + 3] = y3;
    }

    for( ; i < n; i++ )
    {
        double x0 = x[i].f * exp_prescale;
        int val0, t;

        t = (int)(x[i].i >> 52);
        if( (t & 2047) > 1023 + 10 )
            x0 = t < 0 ? -exp_max_val : exp_max_val;

        val0 = cvRound(x0);
        t = (val0 >> EXPTAB_SCALE) + 1023;
        t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);

        buf[0].i.hi = t << 20;
        x0 = (x0 - val0)*exp_postscale;

        y[i] = buf[0].d * icvExpTab[val0 & EXPTAB_MASK] * EXPPOLY( x0 );
    }

    return CV_OK;
}

#undef EXPTAB_SCALE
#undef EXPTAB_MASK
#undef EXPPOLY_32F_A0

CV_IMPL void cvExp( const CvArr* srcarr, CvArr* dstarr )
{
    CV_FUNCNAME( "cvExp" );

    __BEGIN__;

    CvMat srcstub, *src = (CvMat*)srcarr;
    CvMat dststub, *dst = (CvMat*)dstarr;
    int coi1 = 0, coi2 = 0, src_depth, dst_depth;
    double* buffer = 0;
    CvSize size;
    int x, y, dx = 0;

    if( !CV_IS_MAT(src))
        CV_CALL( src = cvGetMat( src, &srcstub, &coi1 ));

    if( !CV_IS_MAT(dst))
        CV_CALL( dst = cvGetMat( dst, &dststub, &coi2 ));

    if( coi1 != 0 || coi2 != 0 )
        CV_ERROR( CV_BadCOI, "" );

    src_depth = CV_MAT_DEPTH(src->type);
    dst_depth = CV_MAT_DEPTH(dst->type);

    if( !CV_ARE_CNS_EQ( src, dst ) || src_depth < CV_32F || dst_depth < src_depth )
        CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );

    if( !CV_ARE_SIZES_EQ( src, dst ) )
        CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );

    size = cvGetMatSize(src);
    size.width *= CV_MAT_CN(src->type);

    if( CV_IS_MAT_CONT( src->type & dst->type ))
    {
        size.width *= size.height;
        size.height = 1;
    }

    if( !CV_ARE_DEPTHS_EQ( src, dst ))
    {
        dx = MIN( 1024, size.width );
        /*zeng
        buffer = (double*)cvStackAlloc( dx*sizeof(buffer[0]) );
        */
        buffer = (double*)cvAlloc( dx*sizeof(buffer[0]) );
    }

    for( y = 0; y < size.height; y++ )
    {
        uchar* src_data = src->data.ptr + src->step*y;
        uchar* dst_data = dst->data.ptr + dst->step*y;

        if( src_depth == CV_64F )
        {
            icvExp_64f( (double*)src_data, (double*)dst_data, size.width );
        }
        else if( src_depth == dst_depth )
        {
            icvExp_32f( (float*)src_data, (float*)dst_data, size.width );
        }
        else
        {
            for( x = 0; x < size.width; x += dx )
            {
                int len = dx;
                if( x + len > size.width )
                    len = size.width - x;
                icvCvt_32f64f( (float*)src_data + x, buffer, len );
                icvExp_64f( buffer, (double*)dst_data + x, len );
            }
        }
    }
    if(buffer)cvFree(&buffer);
    __END__;
}


/****************************************************************************************\
*                                          L O G                                         *
\****************************************************************************************/

#define LOGTAB_SCALE    8
#define LOGTAB_MASK         ((1 << LOGTAB_SCALE) - 1)
#define LOGTAB_MASK2        ((1 << (20 - LOGTAB_SCALE)) - 1)
#define LOGTAB_MASK2_32F    ((1 << (23 - LOGTAB_SCALE)) - 1)

static const double icvLogTab[] = {
0.0000000000000000000000000000000000000000,    1.000000000000000000000000000000000000000,
.00389864041565732288852075271279318258166,    .9961089494163424124513618677042801556420,
.00778214044205494809292034119607706088573,    .9922480620155038759689922480620155038760,
.01165061721997527263705585198749759001657,    .9884169884169884169884169884169884169884,
.01550418653596525274396267235488267033361,    .9846153846153846153846153846153846153846,
.01934296284313093139406447562578250654042,    .9808429118773946360153256704980842911877,
.02316705928153437593630670221500622574241,    .9770992366412213740458015267175572519084,
.02697658769820207233514075539915211265906,    .9733840304182509505703422053231939163498,
.03077165866675368732785500469617545604706,    .9696969696969696969696969696969696969697,
.03455238150665972812758397481047722976656,    .9660377358490566037735849056603773584906,
.03831886430213659461285757856785494368522,    .9624060150375939849624060150375939849624,
.04207121392068705056921373852674150839447,    .9588014981273408239700374531835205992509,
.04580953603129420126371940114040626212953,    .9552238805970149253731343283582089552239,
.04953393512227662748292900118940451648088,    .9516728624535315985130111524163568773234,
.05324451451881227759255210685296333394944,    .9481481481481481481481481481481481481481,
.05694137640013842427411105973078520037234,    .9446494464944649446494464944649446494465,
.06062462181643483993820353816772694699466,    .9411764705882352941176470588235294117647,
.06429435070539725460836422143984236754475,    .9377289377289377289377289377289377289377,
.06795066190850773679699159401934593915938,    .9343065693430656934306569343065693430657,
.07159365318700880442825962290953611955044,    .9309090909090909090909090909090909090909,
.07522342123758751775142172846244648098944,    .9275362318840579710144927536231884057971,
.07884006170777602129362549021607264876369,    .9241877256317689530685920577617328519856,
.08244366921107458556772229485432035289706,    .9208633093525179856115107913669064748201,
.08603433734180314373940490213499288074675,    .9175627240143369175627240143369175627240,
.08961215868968712416897659522874164395031,    .9142857142857142857142857142857142857143,
.09317722485418328259854092721070628613231,    .9110320284697508896797153024911032028470,
.09672962645855109897752299730200320482256,    .9078014184397163120567375886524822695035,
.10026945316367513738597949668474029749630,    .9045936395759717314487632508833922261484,
.10379679368164355934833764649738441221420,    .9014084507042253521126760563380281690141,
.10731173578908805021914218968959175981580,    .8982456140350877192982456140350877192982,
.11081436634029011301105782649756292812530,    .8951048951048951048951048951048951048951,
.11430477128005862852422325204315711744130,    .8919860627177700348432055749128919860627,
.11778303565638344185817487641543266363440,    .8888888888888888888888888888888888888889,
.12124924363286967987640707633545389398930,    .8858131487889273356401384083044982698962,
.12470347850095722663787967121606925502420,    .8827586206896551724137931034482758620690,
.12814582269193003360996385708858724683530,    .8797250859106529209621993127147766323024,
.13157635778871926146571524895989568904040,    .8767123287671232876712328767123287671233,
.13499516453750481925766280255629681050780,    .8737201365187713310580204778156996587031,
.13840232285911913123754857224412262439730,    .8707482993197278911564625850340136054422,
.14179791186025733629172407290752744302150,    .8677966101694915254237288135593220338983,
.14518200984449788903951628071808954700830,    .8648648648648648648648648648648648648649,
.14855469432313711530824207329715136438610,    .8619528619528619528619528619528619528620,
.15191604202584196858794030049466527998450,    .8590604026845637583892617449664429530201,
.15526612891112392955683674244937719777230,    .8561872909698996655518394648829431438127,
.15860503017663857283636730244325008243330,    .8533333333333333333333333333333333333333,
.16193282026931324346641360989451641216880,    .8504983388704318936877076411960132890365,
.16524957289530714521497145597095368430010,    .8476821192052980132450331125827814569536,
.16855536102980664403538924034364754334090,    .8448844884488448844884488448844884488449,
.17185025692665920060697715143760433420540,    .8421052631578947368421052631578947368421,
.17513433212784912385018287750426679849630,    .8393442622950819672131147540983606557377,
.17840765747281828179637841458315961062910,    .8366013071895424836601307189542483660131,
.18167030310763465639212199675966985523700,    .8338762214983713355048859934853420195440,
.18492233849401198964024217730184318497780,    .8311688311688311688311688311688311688312,
.18816383241818296356839823602058459073300,    .8284789644012944983818770226537216828479,
.19139485299962943898322009772527962923050,    .8258064516129032258064516129032258064516,
.19461546769967164038916962454095482826240,    .8231511254019292604501607717041800643087,
.19782574332991986754137769821682013571260,    .8205128205128205128205128205128205128205,
.20102574606059073203390141770796617493040,    .8178913738019169329073482428115015974441,
.20421554142869088876999228432396193966280,    .8152866242038216560509554140127388535032,
.20739519434607056602715147164417430758480,    .8126984126984126984126984126984126984127,
.21056476910734961416338251183333341032260,    .8101265822784810126582278481012658227848,
.21372432939771812687723695489694364368910,    .8075709779179810725552050473186119873817,
.21687393830061435506806333251006435602900,    .8050314465408805031446540880503144654088,
.22001365830528207823135744547471404075630,    .8025078369905956112852664576802507836991,
.22314355131420973710199007200571941211830,    .8000000000000000000000000000000000000000,
.22626367865045338145790765338460914790630,    .7975077881619937694704049844236760124611,
.22937410106484582006380890106811420992010,    .7950310559006211180124223602484472049689,
.23247487874309405442296849741978803649550,    .7925696594427244582043343653250773993808,
.23556607131276688371634975283086532726890,    .7901234567901234567901234567901234567901,
.23864773785017498464178231643018079921600,    .7876923076923076923076923076923076923077,
.24171993688714515924331749374687206000090,    .7852760736196319018404907975460122699387,
.24478272641769091566565919038112042471760,    .7828746177370030581039755351681957186544,
.24783616390458124145723672882013488560910,    .7804878048780487804878048780487804878049,
.25088030628580937353433455427875742316250,    .7781155015197568389057750759878419452888,
.25391520998096339667426946107298135757450,    .7757575757575757575757575757575757575758,
.25694093089750041913887912414793390780680,    .7734138972809667673716012084592145015106,
.25995752443692604627401010475296061486000,    .7710843373493975903614457831325301204819,
.26296504550088134477547896494797896593800,    .7687687687687687687687687687687687687688,
.26596354849713793599974565040611196309330,    .7664670658682634730538922155688622754491,
.26895308734550393836570947314612567424780,    .7641791044776119402985074626865671641791,
.27193371548364175804834985683555714786050,    .7619047619047619047619047619047619047619,
.27490548587279922676529508862586226314300,    .7596439169139465875370919881305637982196,
.27786845100345625159121709657483734190480,    .7573964497041420118343195266272189349112,
.28082266290088775395616949026589281857030,    .7551622418879056047197640117994100294985,
.28376817313064456316240580235898960381750,    .7529411764705882352941176470588235294118,
.28670503280395426282112225635501090437180,    .7507331378299120234604105571847507331378,
.28963329258304265634293983566749375313530,    .7485380116959064327485380116959064327485,
.29255300268637740579436012922087684273730,    .7463556851311953352769679300291545189504,
.29546421289383584252163927885703742504130,    .7441860465116279069767441860465116279070,
.29836697255179722709783618483925238251680,    .7420289855072463768115942028985507246377,
.30126133057816173455023545102449133992200,    .7398843930635838150289017341040462427746,
.30414733546729666446850615102448500692850,    .7377521613832853025936599423631123919308,
.30702503529491181888388950937951449304830,    .7356321839080459770114942528735632183908,
.30989447772286465854207904158101882785550,    .7335243553008595988538681948424068767908,
.31275571000389684739317885942000430077330,    .7314285714285714285714285714285714285714,
.31560877898630329552176476681779604405180,    .7293447293447293447293447293447293447293,
.31845373111853458869546784626436419785030,    .7272727272727272727272727272727272727273,
.32129061245373424782201254856772720813750,    .7252124645892351274787535410764872521246,
.32411946865421192853773391107097268104550,    .7231638418079096045197740112994350282486,
.32694034499585328257253991068864706903700,    .7211267605633802816901408450704225352113,
.32975328637246797969240219572384376078850,    .7191011235955056179775280898876404494382,
.33255833730007655635318997155991382896900,    .7170868347338935574229691876750700280112,
.33535554192113781191153520921943709254280,    .7150837988826815642458100558659217877095,
.33814494400871636381467055798566434532400,    .7130919220055710306406685236768802228412,
.34092658697059319283795275623560883104800,    .7111111111111111111111111111111111111111,
.34370051385331840121395430287520866841080,    .7091412742382271468144044321329639889197,
.34646676734620857063262633346312213689100,    .7071823204419889502762430939226519337017,
.34922538978528827602332285096053965389730,    .7052341597796143250688705234159779614325,
.35197642315717814209818925519357435405250,    .7032967032967032967032967032967032967033,
.35471990910292899856770532096561510115850,    .7013698630136986301369863013698630136986,
.35745588892180374385176833129662554711100,    .6994535519125683060109289617486338797814,
.36018440357500774995358483465679455548530,    .6975476839237057220708446866485013623978,
.36290549368936841911903457003063522279280,    .6956521739130434782608695652173913043478,
.36561919956096466943762379742111079394830,    .6937669376693766937669376693766937669377,
.36832556115870762614150635272380895912650,    .6918918918918918918918918918918918918919,
.37102461812787262962487488948681857436900,    .6900269541778975741239892183288409703504,
.37371640979358405898480555151763837784530,    .6881720430107526881720430107526881720430,
.37640097516425302659470730759494472295050,    .6863270777479892761394101876675603217158,
.37907835293496944251145919224654790014030,    .6844919786096256684491978609625668449198,
.38174858149084833769393299007788300514230,    .6826666666666666666666666666666666666667,
.38441169891033200034513583887019194662580,    .6808510638297872340425531914893617021277,
.38706774296844825844488013899535872042180,    .6790450928381962864721485411140583554377,
.38971675114002518602873692543653305619950,    .6772486772486772486772486772486772486772,
.39235876060286384303665840889152605086580,    .6754617414248021108179419525065963060686,
.39499380824086893770896722344332374632350,    .6736842105263157894736842105263157894737,
.39762193064713846624158577469643205404280,    .6719160104986876640419947506561679790026,
.40024316412701266276741307592601515352730,    .6701570680628272251308900523560209424084,
.40285754470108348090917615991202183067800,    .6684073107049608355091383812010443864230,
.40546510810816432934799991016916465014230,    .6666666666666666666666666666666666666667,
.40806588980822172674223224930756259709600,    .6649350649350649350649350649350649350649,
.41065992498526837639616360320360399782650,    .6632124352331606217616580310880829015544,
.41324724855021932601317757871584035456180,    .6614987080103359173126614987080103359173,
.41582789514371093497757669865677598863850,    .6597938144329896907216494845360824742268,
.41840189913888381489925905043492093682300,    .6580976863753213367609254498714652956298,
.42096929464412963239894338585145305842150,    .6564102564102564102564102564102564102564,
.42353011550580327293502591601281892508280,    .6547314578005115089514066496163682864450,
.42608439531090003260516141381231136620050,    .6530612244897959183673469387755102040816,
.42863216738969872610098832410585600882780,    .6513994910941475826972010178117048346056,
.43117346481837132143866142541810404509300,    .6497461928934010152284263959390862944162,
.43370832042155937902094819946796633303180,    .6481012658227848101265822784810126582278,
.43623676677491801667585491486534010618930,    .6464646464646464646464646464646464646465,
.43875883620762790027214350629947148263450,    .6448362720403022670025188916876574307305,
.44127456080487520440058801796112675219780,    .6432160804020100502512562814070351758794,
.44378397241030093089975139264424797147500,    .6416040100250626566416040100250626566416,
.44628710262841947420398014401143882423650,    .6400000000000000000000000000000000000000,
.44878398282700665555822183705458883196130,    .6384039900249376558603491271820448877805,
.45127464413945855836729492693848442286250,    .6368159203980099502487562189054726368159,
.45375911746712049854579618113348260521900,    .6352357320099255583126550868486352357320,
.45623743348158757315857769754074979573500,    .6336633663366336633663366336633663366337,
.45870962262697662081833982483658473938700,    .6320987654320987654320987654320987654321,
.46117571512217014895185229761409573256980,    .6305418719211822660098522167487684729064,
.46363574096303250549055974261136725544930,    .6289926289926289926289926289926289926290,
.46608972992459918316399125615134835243230,    .6274509803921568627450980392156862745098,
.46853771156323925639597405279346276074650,    .6259168704156479217603911980440097799511,
.47097971521879100631480241645476780831830,    .6243902439024390243902439024390243902439,
.47341577001667212165614273544633761048330,    .6228710462287104622871046228710462287105,
.47584590486996386493601107758877333253630,    .6213592233009708737864077669902912621359,
.47827014848147025860569669930555392056700,    .6198547215496368038740920096852300242131,
.48068852934575190261057286988943815231330,    .6183574879227053140096618357487922705314,
.48310107575113581113157579238759353756900,    .6168674698795180722891566265060240963855,
.48550781578170076890899053978500887751580,    .6153846153846153846153846153846153846154,
.48790877731923892879351001283794175833480,    .6139088729016786570743405275779376498801,
.49030398804519381705802061333088204264650,    .6124401913875598086124401913875598086124,
.49269347544257524607047571407747454941280,    .6109785202863961813842482100238663484487,
.49507726679785146739476431321236304938800,    .6095238095238095238095238095238095238095,
.49745538920281889838648226032091770321130,    .6080760095011876484560570071258907363420,
.49982786955644931126130359189119189977650,    .6066350710900473933649289099526066350711,
.50219473456671548383667413872899487614650,    .6052009456264775413711583924349881796690,
.50455601075239520092452494282042607665050,    .6037735849056603773584905660377358490566,
.50691172444485432801997148999362252652650,    .6023529411764705882352941176470588235294,
.50926190178980790257412536448100581765150,    .6009389671361502347417840375586854460094,
.51160656874906207391973111953120678663250,    .5995316159250585480093676814988290398126,
.51394575110223428282552049495279788970950,    .5981308411214953271028037383177570093458,
.51627947444845445623684554448118433356300,    .5967365967365967365967365967365967365967,
.51860776420804555186805373523384332656850,    .5953488372093023255813953488372093023256,
.52093064562418522900344441950437612831600,    .5939675174013921113689095127610208816705,
.52324814376454775732838697877014055848100,    .5925925925925925925925925925925925925926,
.52556028352292727401362526507000438869000,    .5912240184757505773672055427251732101617,
.52786708962084227803046587723656557500350,    .5898617511520737327188940092165898617512,
.53016858660912158374145519701414741575700,    .5885057471264367816091954022988505747126,
.53246479886947173376654518506256863474850,    .5871559633027522935779816513761467889908,
.53475575061602764748158733709715306758900,    .5858123569794050343249427917620137299771,
.53704146589688361856929077475797384977350,    .5844748858447488584474885844748858447489,
.53932196859560876944783558428753167390800,    .5831435079726651480637813211845102505695,
.54159728243274429804188230264117009937750,    .5818181818181818181818181818181818181818,
.54386743096728351609669971367111429572100,    .5804988662131519274376417233560090702948,
.54613243759813556721383065450936555862450,    .5791855203619909502262443438914027149321,
.54839232556557315767520321969641372561450,    .5778781038374717832957110609480812641084,
.55064711795266219063194057525834068655950,    .5765765765765765765765765765765765765766,
.55289683768667763352766542084282264113450,    .5752808988764044943820224719101123595506,
.55514150754050151093110798683483153581600,    .5739910313901345291479820627802690582960,
.55738115013400635344709144192165695130850,    .5727069351230425055928411633109619686801,
.55961578793542265941596269840374588966350,    .5714285714285714285714285714285714285714,
.56184544326269181269140062795486301183700,    .5701559020044543429844097995545657015590,
.56407013828480290218436721261241473257550,    .5688888888888888888888888888888888888889,
.56628989502311577464155334382667206227800,    .5676274944567627494456762749445676274945,
.56850473535266865532378233183408156037350,    .5663716814159292035398230088495575221239,
.57071468100347144680739575051120482385150,    .5651214128035320088300220750551876379691,
.57291975356178548306473885531886480748650,    .5638766519823788546255506607929515418502,
.57511997447138785144460371157038025558000,    .5626373626373626373626373626373626373626,
.57731536503482350219940144597785547375700,    .5614035087719298245614035087719298245614,
.57950594641464214795689713355386629700650,    .5601750547045951859956236323851203501094,
.58169173963462239562716149521293118596100,    .5589519650655021834061135371179039301310,
.58387276558098266665552955601015128195300,    .5577342047930283224400871459694989106754,
.58604904500357812846544902640744112432000,    .5565217391304347826086956521739130434783,
.58822059851708596855957011939608491957200,    .5553145336225596529284164859002169197397,
.59038744660217634674381770309992134571100,    .5541125541125541125541125541125541125541,
.59254960960667157898740242671919986605650,    .5529157667386609071274298056155507559395,
.59470710774669277576265358220553025603300,    .5517241379310344827586206896551724137931,
.59685996110779382384237123915227130055450,    .5505376344086021505376344086021505376344,
.59900818964608337768851242799428291618800,    .5493562231759656652360515021459227467811,
.60115181318933474940990890900138765573500,    .5481798715203426124197002141327623126338,
.60329085143808425240052883964381180703650,    .5470085470085470085470085470085470085470,
.60542532396671688843525771517306566238400,    .5458422174840085287846481876332622601279,
.60755525022454170969155029524699784815300,    .5446808510638297872340425531914893617021,
.60968064953685519036241657886421307921400,    .5435244161358811040339702760084925690021,
.61180154110599282990534675263916142284850,    .5423728813559322033898305084745762711864,
.61391794401237043121710712512140162289150,    .5412262156448202959830866807610993657505,
.61602987721551394351138242200249806046500,    .5400843881856540084388185654008438818565,
.61813735955507864705538167982012964785100,    .5389473684210526315789473684210526315789,
.62024040975185745772080281312810257077200,    .5378151260504201680672268907563025210084,
.62233904640877868441606324267922900617100,    .5366876310272536687631027253668763102725,
.62443328801189346144440150965237990021700,    .5355648535564853556485355648535564853556,
.62652315293135274476554741340805776417250,    .5344467640918580375782881002087682672234,
.62860865942237409420556559780379757285100,    .5333333333333333333333333333333333333333,
.63068982562619868570408243613201193511500,    .5322245322245322245322245322245322245322,
.63276666957103777644277897707070223987100,    .5311203319502074688796680497925311203320,
.63483920917301017716738442686619237065300,    .5300207039337474120082815734989648033126,
.63690746223706917739093569252872839570050,    .5289256198347107438016528925619834710744,
.63897144645792069983514238629140891134750,    .5278350515463917525773195876288659793814,
.64103117942093124081992527862894348800200,    .5267489711934156378600823045267489711934,
.64308667860302726193566513757104985415950,    .5256673511293634496919917864476386036961,
.64513796137358470073053240412264131009600,    .5245901639344262295081967213114754098361,
.64718504499530948859131740391603671014300,    .5235173824130879345603271983640081799591,
.64922794662510974195157587018911726772800,    .5224489795918367346938775510204081632653,
.65126668331495807251485530287027359008800,    .5213849287169042769857433808553971486762,
.65330127201274557080523663898929953575150,    .5203252032520325203252032520325203252033,
.65533172956312757406749369692988693714150,    .5192697768762677484787018255578093306288,
.65735807270835999727154330685152672231200,    .5182186234817813765182186234817813765182,
.65938031808912778153342060249997302889800,    .5171717171717171717171717171717171717172,
.66139848224536490484126716182800009846700,    .5161290322580645161290322580645161290323,
.66341258161706617713093692145776003599150,    .5150905432595573440643863179074446680080,
.66542263254509037562201001492212526500250,    .5140562248995983935742971887550200803213,
.66742865127195616370414654738851822912700,    .5130260521042084168336673346693386773547,
.66943065394262923906154583164607174694550,    .5120000000000000000000000000000000000000,
.67142865660530226534774556057527661323550,    .5109780439121756487025948103792415169661,
.67342267521216669923234121597488410770900,    .5099601593625498007968127490039840637450,
.67541272562017662384192817626171745359900,    .5089463220675944333996023856858846918489,
.67739882359180603188519853574689477682100,    .5079365079365079365079365079365079365079,
.67938098479579733801614338517538271844400,    .5069306930693069306930693069306930693069,
.68135922480790300781450241629499942064300,    .5059288537549407114624505928853754940711,
.68333355911162063645036823800182901322850,    .5049309664694280078895463510848126232742,
.68530400309891936760919861626462079584600,    .5039370078740157480314960629921259842520,
.68727057207096020619019327568821609020250,    .5029469548133595284872298624754420432220,
.68923328123880889251040571252815425395950,    .5019607843137254901960784313725490196078,
.69314718055994530941723212145818, 5.0e-01,
};



#define LOGTAB_TRANSLATE(x,h) (((x) - 1.)*icvLogTab[(h)+1])
static const double ln_2 = 0.69314718055994530941723212145818;

IPCVAPI_IMPL( CvStatus, icvLog_32f, ( const float *_x, float *y, int n ), (_x, y, n) )
{
    static const double shift[] = { 0, -1./512 };
    static const double
        A0 = 0.3333333333333333333333333,
        A1 = -0.5,
        A2 = 1;

    #undef LOGPOLY
    #define LOGPOLY(x,k) ((x)+=shift[k],((A0*(x) + A1)*(x) + A2)*(x))

    int i = 0;
    union
    {
        int i;
        float f;
    }
    buf[4];

    const int* x = (const int*)_x;

    if( !x || !y )
        return CV_NULLPTR_ERR;
    if( n <= 0 )
        return CV_BADSIZE_ERR;

    for( i = 0; i <= n - 4; i += 4 )
    {
        double x0, x1, x2, x3;
        double y0, y1, y2, y3;
        int h0, h1, h2, h3;

        h0 = x[i];
        h1 = x[i+1];
        buf[0].i = (h0 & LOGTAB_MASK2_32F) | (127 << 23);
        buf[1].i = (h1 & LOGTAB_MASK2_32F) | (127 << 23);

        y0 = (((h0 >> 23) & 0xff) - 127) * ln_2;
        y1 = (((h1 >> 23) & 0xff) - 127) * ln_2;

        h0 = (h0 >> (23 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
        h1 = (h1 >> (23 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;

        y0 += icvLogTab[h0];
        y1 += icvLogTab[h1];

        h2 = x[i+2];
        h3 = x[i+3];

        x0 = LOGTAB_TRANSLATE( buf[0].f, h0 );
        x1 = LOGTAB_TRANSLATE( buf[1].f, h1 );

        buf[2].i = (h2 & LOGTAB_MASK2_32F) | (127 << 23);
        buf[3].i = (h3 & LOGTAB_MASK2_32F) | (127 << 23);

        y2 = (((h2 >> 23) & 0xff) - 127) * ln_2;
        y3 = (((h3 >> 23) & 0xff) - 127) * ln_2;

        h2 = (h2 >> (23 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
        h3 = (h3 >> (23 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;

        y2 += icvLogTab[h2];
        y3 += icvLogTab[h3];

        x2 = LOGTAB_TRANSLATE( buf[2].f, h2 );
        x3 = LOGTAB_TRANSLATE( buf[3].f, h3 );

        y0 += LOGPOLY( x0, h0 == 510 );
        y1 += LOGPOLY( x1, h1 == 510 );

        y[i] = (float) y0;
        y[i + 1] = (float) y1;

        y2 += LOGPOLY( x2, h2 == 510 );
        y3 += LOGPOLY( x3, h3 == 510 );

        y[i + 2] = (float) y2;
        y[i + 3] = (float) y3;
    }

    for( ; i < n; i++ )
    {
        int h0 = x[i];
        double x0, y0;

        y0 = (((h0 >> 23) & 0xff) - 127) * ln_2;

        buf[0].i = (h0 & LOGTAB_MASK2_32F) | (127 << 23);
        h0 = (h0 >> (23 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;

        y0 += icvLogTab[h0];
        x0 = LOGTAB_TRANSLATE( buf[0].f, h0 );
        y0 += LOGPOLY( x0, h0 == 510 );

        y[i] = (float)y0;
    }

    return CV_OK;
}


IPCVAPI_IMPL( CvStatus, icvLog_64f, ( const double *x, double *y, int n ), (x, y, n) )
{
    static const double shift[] = { 0, -1./512 };
    static const double
        A0 = -.1666666666666666666666666666666666666666,
        A1 = +0.2,
        A2 = -0.25,
        A3 = +0.3333333333333333333333333333333333333333,
        A4 = -0.5,
        A5 = +1.0;

    #undef LOGPOLY
    #define LOGPOLY(x,k) ((x)+=shift[k], (xq) = (x)*(x),\
        ((A0*(xq) + A2)*(xq) + A4)*(xq) + ((A1*(xq) + A3)*(xq) + A5)*(x))

    int i = 0;
    DBLINT buf[4];
    DBLINT *X = (DBLINT *) x;

    if( !x || !y )
        return CV_NULLPTR_ERR;
    if( n <= 0 )
        return CV_BADSIZE_ERR;

    for( ; i <= n - 4; i += 4 )
    {
        double xq;
        double x0, x1, x2, x3;
        double y0, y1, y2, y3;
        int h0, h1, h2, h3;

        h0 = X[i].i.lo;
        h1 = X[i + 1].i.lo;
        buf[0].i.lo = h0;
        buf[1].i.lo = h1;

        h0 = X[i].i.hi;
        h1 = X[i + 1].i.hi;
        buf[0].i.hi = (h0 & LOGTAB_MASK2) | (1023 << 20);
        buf[1].i.hi = (h1 & LOGTAB_MASK2) | (1023 << 20);

        y0 = (((h0 >> 20) & 0x7ff) - 1023) * ln_2;
        y1 = (((h1 >> 20) & 0x7ff) - 1023) * ln_2;

        h2 = X[i + 2].i.lo;
        h3 = X[i + 3].i.lo;
        buf[2].i.lo = h2;
        buf[3].i.lo = h3;

        h0 = (h0 >> (20 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
        h1 = (h1 >> (20 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;

        y0 += icvLogTab[h0];
        y1 += icvLogTab[h1];

        h2 = X[i + 2].i.hi;
        h3 = X[i + 3].i.hi;

        x0 = LOGTAB_TRANSLATE( buf[0].d, h0 );
        x1 = LOGTAB_TRANSLATE( buf[1].d, h1 );

        buf[2].i.hi = (h2 & LOGTAB_MASK2) | (1023 << 20);
        buf[3].i.hi = (h3 & LOGTAB_MASK2) | (1023 << 20);

        y2 = (((h2 >> 20) & 0x7ff) - 1023) * ln_2;
        y3 = (((h3 >> 20) & 0x7ff) - 1023) * ln_2;

        h2 = (h2 >> (20 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
        h3 = (h3 >> (20 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;

        y2 += icvLogTab[h2];
        y3 += icvLogTab[h3];

        x2 = LOGTAB_TRANSLATE( buf[2].d, h2 );
        x3 = LOGTAB_TRANSLATE( buf[3].d, h3 );

        y0 += LOGPOLY( x0, h0 == 510 );
        y1 += LOGPOLY( x1, h1 == 510 );

        y[i] = y0;
        y[i + 1] = y1;

        y2 += LOGPOLY( x2, h2 == 510 );
        y3 += LOGPOLY( x3, h3 == 510 );

        y[i + 2] = y2;
        y[i + 3] = y3;
    }

    for( ; i < n; i++ )
    {
        int h0 = X[i].i.hi;
        double xq;
        double x0, y0 = (((h0 >> 20) & 0x7ff) - 1023) * ln_2;

        buf[0].i.hi = (h0 & LOGTAB_MASK2) | (1023 << 20);
        buf[0].i.lo = X[i].i.lo;
        h0 = (h0 >> (20 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;

        y0 += icvLogTab[h0];
        x0 = LOGTAB_TRANSLATE( buf[0].d, h0 );
        y0 += LOGPOLY( x0, h0 == 510 );
        y[i] = y0;
    }

    return CV_OK;
}


CV_IMPL void cvLog( const CvArr* srcarr, CvArr* dstarr )
{
    CV_FUNCNAME( "cvLog" );

    __BEGIN__;

    CvMat srcstub, *src = (CvMat*)srcarr;
    CvMat dststub, *dst = (CvMat*)dstarr;
    int coi1 = 0, coi2 = 0, src_depth, dst_depth;
    double* buffer = 0;
    CvSize size;
    int x, y, dx = 0;

    if( !CV_IS_MAT(src))
        CV_CALL( src = cvGetMat( src, &srcstub, &coi1 ));

    if( !CV_IS_MAT(dst))
        CV_CALL( dst = cvGetMat( dst, &dststub, &coi2 ));

    if( coi1 != 0 || coi2 != 0 )
        CV_ERROR( CV_BadCOI, "" );

    src_depth = CV_MAT_DEPTH(src->type);
    dst_depth = CV_MAT_DEPTH(dst->type);

    if( !CV_ARE_CNS_EQ( src, dst ) || dst_depth < CV_32F || src_depth < dst_depth )
        CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );

    if( !CV_ARE_SIZES_EQ( src, dst ) )
        CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );

    size = cvGetMatSize(src);
    size.width *= CV_MAT_CN(src->type);

    if( CV_IS_MAT_CONT( src->type & dst->type ))
    {
        size.width *= size.height;
        size.height = 1;
    }

    if( !CV_ARE_DEPTHS_EQ( src, dst ))
    {
        dx = MIN( 1024, size.width );
        /*zeng
        buffer = (double*)cvStackAlloc( dx*sizeof(buffer[0]) );
        */
        buffer = (double*)cvAlloc( dx*sizeof(buffer[0]) );
    }

    for( y = 0; y < size.height; y++ )
    {
        uchar* src_data = src->data.ptr + src->step*y;
        uchar* dst_data = dst->data.ptr + dst->step*y;

        if( dst_depth == CV_64F )
        {
            icvLog_64f( (double*)src_data, (double*)dst_data, size.width );
        }
        else if( src_depth == dst_depth )
        {
            icvLog_32f( (float*)src_data, (float*)dst_data, size.width );
        }
        else
        {
            for( x = 0; x < size.width; x += dx )
            {
                int len = dx;
                if( x + len > size.width )
                    len = size.width - x;
                icvLog_64f( (double*)src_data + x, buffer, len );
                icvCvt_64f32f( buffer, (float*)dst_data + x, len );
            }
        }
    }

    if(buffer)
        cvFree(&buffer);
    __END__;
}


/****************************************************************************************\
*                                    P O W E R                                           *
\****************************************************************************************/

#define ICV_DEF_IPOW_OP( flavor, arrtype, worktype, cast_macro )                    \
static CvStatus CV_STDCALL                                                          \
icvIPow_##flavor( const arrtype* src, arrtype* dst, int len, int power )            \
{                                                                                   \
    int i;                                                                          \
                                                                                    \
    for( i = 0; i < len; i++ )                                                      \
    {                                                                               \
        worktype a = 1, b = src[i];                                                 \
        int p = power;                                                              \
        while( p > 1 )                                                              \
        {                                                                           \
            if( p & 1 )                                                             \
                a *= b;                                                             \
            b *= b;                                                                 \
            p >>= 1;                                                                \
        }                                                                           \
                                                                                    \
        a *= b;                                                                     \
        dst[i] = cast_macro(a);                                                     \
    }                                                                               \
                                                                                    \
    return CV_OK;                                                                   \
}


ICV_DEF_IPOW_OP( 8u, uchar, int, CV_CAST_8U )
ICV_DEF_IPOW_OP( 16u, ushort, int, CV_CAST_16U )
ICV_DEF_IPOW_OP( 16s, short, int, CV_CAST_16S )
ICV_DEF_IPOW_OP( 32s, int, int, CV_CAST_32S )
ICV_DEF_IPOW_OP( 32f, float, double, CV_CAST_32F )
ICV_DEF_IPOW_OP( 64f, double, double, CV_CAST_64F )

#define icvIPow_8s 0

CV_DEF_INIT_FUNC_TAB_1D( IPow )

typedef CvStatus (CV_STDCALL * CvIPowFunc)( const void* src, void* dst, int len, int power );
typedef CvStatus (CV_STDCALL * CvSqrtFunc)( const void* src, void* dst, int len );

CV_IMPL void cvPow( const CvArr* srcarr, CvArr* dstarr, double power )
{
    static CvFuncTable ipow_tab;
    static int inittab = 0;

    CV_FUNCNAME( "cvPow" );

    __BEGIN__;

    void* temp_buffer = 0;
    int block_size = 0;
    CvMat srcstub, *src = (CvMat*)srcarr;
    CvMat dststub, *dst = (CvMat*)dstarr;
    int coi1 = 0, coi2 = 0;
    int depth;
    CvSize size;
    int x, y;
    int ipower = cvRound( power );
    int is_ipower = 0;

    if( !CV_IS_MAT(src))
        CV_CALL( src = cvGetMat( src, &srcstub, &coi1 ));

    if( !CV_IS_MAT(dst))
        CV_CALL( dst = cvGetMat( dst, &dststub, &coi2 ));

    if( coi1 != 0 || coi2 != 0 )
        CV_ERROR( CV_BadCOI, "" );

    if( !CV_ARE_TYPES_EQ( src, dst ))
        CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );

    if( !CV_ARE_SIZES_EQ( src, dst ) )
        CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );

    depth = CV_MAT_DEPTH( src->type );

    if( fabs(ipower - power) < DBL_EPSILON )
    {
        if( !inittab )
        {
            icvInitIPowTable( &ipow_tab );
            inittab = 1;
        }

        if( ipower < 0 )
        {
            CV_CALL( cvDiv( 0, src, dst ));

            if( ipower == -1 )
                EXIT;
            ipower = -ipower;
            src = dst;
        }

        switch( ipower )
        {
        case 0:
            cvSet( dst, cvScalarAll(1));
            EXIT;
        case 1:
            cvCopy( src, dst );
            EXIT;
        case 2:
            cvMul( src, src, dst );
            EXIT;
        default:
            is_ipower = 1;
        }
    }
    else if( depth < CV_32F )
        CV_ERROR( CV_StsUnsupportedFormat,
        "Fractional or negative integer power factor can be used "
        "with floating-point types only");

    size = cvGetMatSize(src);
    size.width *= CV_MAT_CN(src->type);

    if( CV_IS_MAT_CONT( src->type & dst->type ))
    {
        size.width *= size.height;
        size.height = 1;
    }

    if( is_ipower )
    {
        CvIPowFunc pow_func = (CvIPowFunc)ipow_tab.fn_2d[depth];
        if( !pow_func )
            CV_ERROR( CV_StsUnsupportedFormat, "The data type is not supported" );

        for( y = 0; y < size.height; y++ )
        {
            uchar* src_data = src->data.ptr + src->step*y;
            uchar* dst_data = dst->data.ptr + dst->step*y;

            pow_func( src_data, dst_data, size.width, ipower );
        }
    }
    else if( fabs(fabs(power) - 0.5) < DBL_EPSILON )
    {
        CvSqrtFunc sqrt_func = power < 0 ?
            (depth == CV_32F ? (CvSqrtFunc)icvInvSqrt_32f : (CvSqrtFunc)icvInvSqrt_64f) :
            (depth == CV_32F ? (CvSqrtFunc)icvSqrt_32f : (CvSqrtFunc)icvSqrt_64f);

        for( y = 0; y < size.height; y++ )
        {
            uchar* src_data = src->data.ptr + src->step*y;
            uchar* dst_data = dst->data.ptr + dst->step*y;

            sqrt_func( src_data, dst_data, size.width );
        }
    }
    else
    {
        block_size = MIN( size.width, ICV_MATH_BLOCK_SIZE );
        /*zeng
        temp_buffer = cvStackAlloc( block_size*CV_ELEM_SIZE(depth) );
        */
        temp_buffer = cvAlloc( block_size*CV_ELEM_SIZE(depth) );

        for( y = 0; y < size.height; y++ )
        {
            uchar* src_data = src->data.ptr + src->step*y;
            uchar* dst_data = dst->data.ptr + dst->step*y;

            for( x = 0; x < size.width; x += block_size )
            {
                int len = MIN( size.width - x, block_size );
                if( depth == CV_32F )
                {
                    icvLog_32f( (float*)src_data + x, (float*)temp_buffer, len );
                    icvScale_32f( (float*)temp_buffer, (float*)temp_buffer, len, (float)power, 0 );
                    icvExp_32f( (float*)temp_buffer, (float*)dst_data + x, len );
                }
                else
                {
                    icvLog_64f( (double*)src_data + x, (double*)temp_buffer, len );
                    icvScale_64f( (double*)temp_buffer, (double*)temp_buffer, len, power, 0 );
                    icvExp_64f( (double*)temp_buffer, (double*)dst_data + x, len );
                }
            }
        }
    }
    if(temp_buffer)cvFree(&temp_buffer);
    __END__;
}


/************************** CheckArray for NaN's, Inf's *********************************/

IPCVAPI_IMPL( CvStatus, icvCheckArray_32f_C1R,
    ( const float* src, int srcstep, CvSize size, int flags, double min_val, double max_val ),
     (src, srcstep, size, flags, min_val, max_val) )
{
    Cv32suf a, b;
    int ia, ib;
    const int* isrc = (const int*)src;

    if( !src )
        return CV_NULLPTR_ERR;

    if( size.width <= 0 || size.height <= 0 )
        return CV_BADSIZE_ERR;

    if( flags & CV_CHECK_RANGE )
    {
        a.f = (float)min_val;
        b.f = (float)max_val;
    }
    else
    {
        a.f = -FLT_MAX;
        b.f = FLT_MAX;
    }

    ia = CV_TOGGLE_FLT(a.i);
    ib = CV_TOGGLE_FLT(b.i);

    srcstep /= sizeof(isrc[0]);
    for( ; size.height--; isrc += srcstep )
    {
        int i;
        for( i = 0; i < size.width; i++ )
        {
            int val = isrc[i];
            val = CV_TOGGLE_FLT(val);

            if( val < ia || val >= ib )
                return CV_BADRANGE_ERR;
        }
    }

    return CV_OK;
}


IPCVAPI_IMPL( CvStatus,  icvCheckArray_64f_C1R,
    ( const double* src, int srcstep, CvSize size, int flags, double min_val, double max_val ),
    (src, srcstep, size, flags, min_val, max_val) )
{
    Cv64suf a, b;
    int64 ia, ib;
    const int64* isrc = (const int64*)src;

    if( !src )
        return CV_NULLPTR_ERR;

    if( size.width <= 0 || size.height <= 0 )
        return CV_BADSIZE_ERR;

    if( flags & CV_CHECK_RANGE )
    {
        a.f = min_val;
        b.f = max_val;
    }
    else
    {
        a.f = -DBL_MAX;
        b.f = DBL_MAX;
    }

    ia = CV_TOGGLE_DBL(a.i);
    ib = CV_TOGGLE_DBL(b.i);

    srcstep /= sizeof(isrc[0]);
    for( ; size.height--; isrc += srcstep )
    {
        int i;
        for( i = 0; i < size.width; i++ )
        {
            int64 val = isrc[i];
            val = CV_TOGGLE_DBL(val);

            if( val < ia || val >= ib )
                return CV_BADRANGE_ERR;
        }
    }

    return CV_OK;
}


CV_IMPL  int  cvCheckArr( const CvArr* arr, int flags,
                          double minVal, double maxVal )
{
    int result = 0;

    CV_FUNCNAME( "cvCheckArr" );

    __BEGIN__;

    if( arr )
    {
        CvStatus status = CV_OK;
        CvMat stub, *mat = (CvMat*)arr;
        int type;
        CvSize size;

        if( !CV_IS_MAT( mat ))
            CV_CALL( mat = cvGetMat( mat, &stub, 0, 1 ));

        type = CV_MAT_TYPE( mat->type );
        size = cvGetMatSize( mat );

        size.width *= CV_MAT_CN( type );

        if( CV_IS_MAT_CONT( mat->type ))
        {
            size.width *= size.height;
            size.height = 1;
        }

        if( CV_MAT_DEPTH(type) == CV_32F )
        {
            status = icvCheckArray_32f_C1R( mat->data.fl, mat->step, size,
                                            flags, minVal, maxVal );
        }
        else if( CV_MAT_DEPTH(type) == CV_64F )
        {
            status = icvCheckArray_64f_C1R( mat->data.db, mat->step, size,
                                            flags, minVal, maxVal );
        }
        else
        {
            CV_ERROR( CV_StsUnsupportedFormat, "" );
        }

        if( status < 0 )
        {
            if( status != CV_BADRANGE_ERR || !(flags & CV_CHECK_QUIET))
                CV_ERROR( CV_StsOutOfRange, "CheckArray failed" );

            result = 0;
        }
    }

    result = 1;

    __END__;

    return result;
}


/* End of file. */
